Problem: Two substances A and B, initially at different temperatures, are thermally isolated from their surroundings and allowed to come into thermal contact. The mass of substance A is twice the mass of substance B, but the specific heat capacity of substance B is four times the specific heat capacity of substance A. Which substance will undergo a larger change in temperature?

FREE Expert Solution

q=mcT

+qabsorbs heat
–qloses heat

– qA = + qB

  • mA = 2mB 
  • cB = 4cA


At thermal equilibrium:

▪ final temperature of A = final temperature of B = final temperature of system

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Problem Details

Two substances A and B, initially at different temperatures, are thermally isolated from their surroundings and allowed to come into thermal contact. The mass of substance A is twice the mass of substance B, but the specific heat capacity of substance B is four times the specific heat capacity of substance A. Which substance will undergo a larger change in temperature?

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